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Preprint . 2009
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Article . 2009
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https://dx.doi.org/10.48550/ar...
Article . 2009
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Non-parametric estimation in a semimartingale regression model. Part 1. Oracle Inequalities

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2009Embargo end date: 01 Jan 2009Publisher:arXiv
Authors: Konev, Victor V.; Pergamenshchikov, Serguei M.;

doi: 10.48550/arxiv.0909.3151

arXiv: 0909.3151

Non-parametric estimation in a semimartingale regression model. Part 1. Oracle Inequalities

Abstract

This paper considers the problem of estimating a periodic function in a continuous time regression model with a general square integrable semimartingale noise. A model selection adaptive procedure is proposed. Sharp non-asymptotic oracle inequalities have been derived.

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Keywords

непараметрическая регрессия, оракульные неравенства, семимартингальный шум, FOS: Mathematics, Mathematics - Statistics Theory, Statistics Theory (math.ST)

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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